Which of the following is a dilation?
2 answers:
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Answer:
Part 1) Vertical line :
Part 2) Horizontal line :
Step-by-step explanation:
Part 1) Write the equation for the vertical line passing through the point (1,-4)
we know that
The equation of a vertical line (parallel to the y-axis) is equal to the x-coordinate of the point that passes through it
so
The x-coordinate is 1
therefore
The equation of the line is
Part 2) Write the equation for the horizontal line passing through the point (1,-4)
we know that
The equation of a horizontal line (parallel to the x-axis) is equal to the y-coordinate of the point that passes through it
so
The y-coordinate is -4
therefore
The equation of the line is
The distance formula is
. In the ordered pair (4, 6), 4 is the <em /><em>x</em>-coordinate and 6 is the <em /><em>y</em>-coordinate. In the ordered pair (7, -3), 7 is the <em>x</em>-coordinate and -3 is the <em>y</em>-coordinate. Substituting those values in gives us
. Since subtracting a negative is the same as adding a positive, we now have
